Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 4, Problem 58P
(a)
To determine
The expression for the electric field
(b)
To determine
The energy stored in both the dielectric layers and the expression for
(c)
To determine
The prove that expression for
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
In the circuit shown:
a) Obtain the equivalent capacitance in pF
b)Determine the charge Q1 (nC) at the capacitor C1.
c) Determine the charge Q2 (nC) at the capacitor C2
d) Determine the charge Q4 (nC) at the capacitor C4.
e) Solve the voltage (V) across C1.
f) Solve the voltage (V) across C2
g) Solve the voltage (V) across C3
h) Solve the voltage (V) across C4
1.1) Figure shows an electrical circuit where capacitor located diagonally, is at a potential
difference of 5.0 V and a capacitance given by C3
= C.
C₂=4C
11
15 V
HH
C₁=C
b
a
C6=0,5 C
C₁=CT
HE
HH
C₁=C
15 V
Then find the value of the capacitance C, so that equivalent capacitance of C₁ y C₂ is equal to
equivalent capacitance of C4, C5 and Co. Also, calculate the potential difference across the
capacitor of capacity 0.5 C.
Choose the TRUE statement:
a)
A capacitor is rated according to its maximum allowable voltage and
capacitance value.
Increasing the distance between the plates of a capacitor would yield a higher
O b)
capacitance.
O) Electrolytic capacitors are non-polarized.
O d) The major reason for using electrolytic capacitors is that they have a very low
d)
capacitance but can handle very low voltages.
Chapter 4 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 4.2 - What happens to Maxwells equations under static...Ch. 4.2 - How is the current density J related to the volume...Ch. 4.2 - Prob. 3CQCh. 4.2 - A square plate residing in the xy plane is...Ch. 4.2 - A thick spherical shell centered at the origin...Ch. 4.3 - When characterizing the electrical permittivity of...Ch. 4.3 - If the electric field is zero at a given point in...Ch. 4.3 - State the principle of linear superposition as it...Ch. 4.3 - Four charges of 10 C each are located in free...Ch. 4.3 - Two identical charges are located on the x axis at...
Ch. 4.3 - In a hydrogen atom the electron and proton are...Ch. 4.3 - An infinite sheet with uniform surface charge...Ch. 4.4 - Explain Gausss law. Under what circumstances is it...Ch. 4.4 - How should one choose a Gaussian surface?Ch. 4.4 - Two infinite lines, each carrying a uniform charge...Ch. 4.4 - A thin spherical shell of radius a carries a...Ch. 4.4 - A spherical volume of radius a contains a uniform...Ch. 4.5 - What is a conservative field?Ch. 4.5 - Why is the electric potential at a point in space...Ch. 4.5 - Prob. 11CQCh. 4.5 - Why is it usually easier to compute V for a given...Ch. 4.5 - Prob. 13CQCh. 4.5 - Determine the electric potential at the origin due...Ch. 4.5 - A spherical shell of radius a has a uniform...Ch. 4.6 - What are the electromagnetic constitutive...Ch. 4.6 - Prob. 15CQCh. 4.6 - What is the conductivity of a perfect dielectric?Ch. 4.6 - Prob. 17CQCh. 4.6 - Prob. 18CQCh. 4.6 - Determine the density of free electrons in...Ch. 4.6 - Prob. 13ECh. 4.6 - A 50 m long copper wire has a circular cross...Ch. 4.6 - Prob. 15ECh. 4.7 - What is a polar material? A nonpolar material?Ch. 4.7 - Prob. 20CQCh. 4.7 - What happens when dielectric breakdown occurs?Ch. 4.7 - Find E1 in Fig. 4-19 if E2=x2y3+z3(v/m),1=20,2=80,...Ch. 4.7 - Repeat Exercise 4.16 for a boundary with surface...Ch. 4.8 - What are the boundary conditions for the electric...Ch. 4.8 - Prob. 23CQCh. 4.9 - How is the capacitance of a two-conductor...Ch. 4.9 - What are fringing fields and when may they be...Ch. 4.10 - To bring a charge q from infinity to a given point...Ch. 4.10 - Prob. 27CQCh. 4.10 - The radii of the inner and outer conductors of a...Ch. 4.11 - What is the fundamental premise of the image...Ch. 4.11 - Given a charge distribution, what are the various...Ch. 4.11 - Use the result of Example 4-13 to find the surface...Ch. 4 - A cube 2 m on a side is located in the first...Ch. 4 - Prob. 2PCh. 4 - Find the total charge contained in a round-top...Ch. 4 - If the line charge density is given by l = 24y2...Ch. 4 - Find the total charge on a circular disk defined...Ch. 4 - If J = 4xz (A/m2), find the current I flowing...Ch. 4 - Prob. 7PCh. 4 - An electron beam shaped like a circular cylinder...Ch. 4 - Prob. 9PCh. 4 - A line of charge of uniform density occupies a...Ch. 4 - A square with sides of 2 m has a charge of 40 C at...Ch. 4 - Three point charges, each with q = 3 nC, are...Ch. 4 - Charge q1 = 6 C is located at (1 cm, 1 cm, 0) and...Ch. 4 - A line of charge with uniform density = 8 (C/m)...Ch. 4 - Prob. 15PCh. 4 - A line of charge with uniform density l extends...Ch. 4 - Repeat Example 4-5 for liie circular disk of...Ch. 4 - Multiple charges at different locations are said...Ch. 4 - Three infinite lines of charge, all parallel to...Ch. 4 - Prob. 20PCh. 4 - A horizontal strip lying in the xy plane is of...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Charge Q1 is uniformly distributed over a thin...Ch. 4 - The electric flux density inside a dielectric...Ch. 4 - Prob. 26PCh. 4 - An infinitely long cylindrical shell extending...Ch. 4 - If the charge density increases linearly with...Ch. 4 - A spherical shell with outer radius b surrounds a...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - A circular ring of charge of radius a lies in the...Ch. 4 - Prob. 33PCh. 4 - Find the electric potential V at a location a...Ch. 4 - For the electric dipole shown in Fig. 4-13, d = 1...Ch. 4 - For each of the distributions of the electric...Ch. 4 - Two infinite lines of charge, both parallel to the...Ch. 4 - Given the electric field E=R18R2(V/m) find the...Ch. 4 - An infinitely long line of charge with uniform...Ch. 4 - The xy plane contains a uniform sheet of charge...Ch. 4 - A cylindrical bar of silicon has a radius of 4 mm...Ch. 4 - Repeat Problem 4.41 for a bar of germanium with e...Ch. 4 - A 100 m long conductor of uniform cross-section...Ch. 4 - Prob. 44PCh. 4 - Apply the result of Problem 4.44 to find the...Ch. 4 - A 2 103 mm thick square sheet of aluminum has 5 cm...Ch. 4 - A cylinder-shaped carbon resistor is 8 cm in...Ch. 4 - With reference to Fig. 4-19, find E1 if...Ch. 4 - An infinitely long cylinder of radius a is...Ch. 4 - If E=R150(V/m) at the surface of a 5-cm conducting...Ch. 4 - Figure P4.51 shows three planar dielectric slabs...Ch. 4 - Determine the force of attraction in a...Ch. 4 - Dielectric breakdown occurs in a material whenever...Ch. 4 - An electron with charge Qe = 1.61019 C and mass me...Ch. 4 - In a dielectric medium with r = 4, the electric...Ch. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Conducting wires above a conducting plane carry...Ch. 4 - Prob. 63P
Knowledge Booster
Similar questions
- When the capacitor is charged current flows on either side of the capacitor. Do electrons cross the gap to allow the current on the other side of the circuit?(b) Is charging and discharging time of capacitor equal in a theoretical RC circuit?Plase explain your answer by using relating formula.arrow_forwardP4.44. What are the steps in solving a circuit having a resistance, a source, and an inductance (or capacitance)? *P4.45.) Write the differential equation for i(t) and find the complete solution for the circuit of Figure P4.45. [Hint: Try a particular solution of the form ip(t) =Ae-!] %3D 10 H 5et i(t) 5Ω Figure P4.45 P14arrow_forward9 Inthe circuit of Figure P4.49, i,(1) = 1, cos (wt +E I, = 13 mA C = 0.5 µF w = 1,000 rad/s a. State, using phasor notation, the source current. b. Determine the impedance of the capacitor. c. Using phasor notation only and showing all work, determine the voltage across the capacitor, including its polarity.arrow_forward
- 4) Analyze the circuit given below to determine the charge stored in capacitor C4. C2 2uF C1 12UF C5 4uF C3 5uF C4 20uF 240Varrow_forwardhi. could you solve the question below? thank you.. A- Find the charge on the capacitor at t = 30 B- Find the voltage on the capacitor at t = 50 C- How much energy is stored in the capacitor by this current?arrow_forwardP4.3. The initial voltage across the capacitor shown in Figure P4.3 is vc(0+) = 0. Find an expres- sion for the voltage across the capacitor as a function of time, and sketch to scale versus time. t=0 R= 100 k2 + v, = 100 V vo(t) C=0.01 µF Figure P4.3 +arrow_forward
- 3 Determine the voltage across the inductor in the circuit shown in Figure P4.63. 3 mH Vz(f) Vs(f) = 24 cos(1,000?) E wwarrow_forwarddą Q-5. The charge, q, on a capacitor of capacitance C, of a series RCcircuit is given by VC Ve t show that when t = 0, q = 0 gives the relation q 1 t. RC dt C e RCarrow_forwardConsider the circuit below. a) Calculate the equivalent capacitance Ceq (show all steps) b) What is the potential difference across C4?arrow_forward
- a) Equivalent capacitance Ceq of the combination shown in figure. b) The charge net charge stored by Ceq. c) Stored charge of capacitor C2 and C6arrow_forwardFor the capacitor network shown In the figure below, C1-C2-D15 µF, C3=C4=10pF, C5=C6%35µF and the applied potential is Vab 30 V. Calculate the charge on the capacitor C4=10 pF. Give your answer in microcoulombs.arrow_forwardOptional practice problems: 1) The figure below shows a parallel-plate capacitor that is connected to a battery (assume negligible resistance in the wires that connect the capacitor to the battery). a) While the battery is still charging the capacitor, rank the potential at points A-E, from lowest to highest BC D E b) After the capacitor is fully charged, rank the potential at points A-E, from lowest to highest. c) The battery is now disconnected from the capacitor and a piece of dielectric material is inserted between the plates. Is the potential difference between points A and E, than, the same as or larger than the potential difference across the battery? Explain your smaller reasoningarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,